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Finding the Third Proportional to 153,994,678,807 and 226,379,009,235.50

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Solution

The third proportional to 153,994,678,807 and 226,379,009,235.50 is: 332,787,186,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994,678,807 : 226,379,009,235.50 = 226,379,009,235.50 : x
  2. Step 2: Convert to fraction form
    153,994,678,807/226,379,009,235.50 = 226,379,009,235.50/x
  3. Step 3: Cross multiply
    153,994,678,807x = 226,379,009,235.50 × 226,379,009,235.50
  4. Step 4: Simplify right side
    153,994,678,807x = 51,247,455,822,446,598,291,456
  5. Step 5: Solve for x
    x = 51,247,455,822,446,598,291,456/153,994,678,807
  6. Step 6: Final answer
    x = 332,787,186,021.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.